To solve for \( x \) in the equation \( 102.5(x - 11.92) = 71.6 \), follow these steps:
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Divide both sides of the equation by 102.5: \[ x - 11.92 = \frac{71.6}{102.5} \]
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Calculate \( \frac{71.6}{102.5} \): \[ \frac{71.6}{102.5} \approx 0.6985 \]
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Now, the equation becomes: \[ x - 11.92 \approx 0.6985 \]
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Add 11.92 to both sides to isolate \( x \): \[ x \approx 0.6985 + 11.92 \] \[ x \approx 12.6185 \]
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Rounding to three decimal places: \[ x \approx 12.619 \]
Thus, the solution is \( \boxed{12.619} \).
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